Synchronization of networked oscillators under nonlinear integral coupling

Journal article (2018)

Authors

Alexey Pavlov Norwegian University of Science and Technology (NTNU), ITMO University
A.V. Proskurnikov Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering , Russian Academy of Sciences
E. Steur Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
N. van de Wouw Eindhoven University of Technology, University of Minnesota, Team Bart De Schutter - Mechanical, Maritime and Materials Engineering
Research Group
Team Bart De Schutter (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2018 Alexey Pavlov, A.V. Proskurnikov, E. Steur, N. van de Wouw
DOI: https://doi.org/10.1016/j.ifacol.2018.12.091
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Published Date

2018

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Bart De Schutter

Abstract

In this paper, we consider synchronization of dynamical systems interconnected via nonlinear integral coupling. Integral coupling allows one to achieve synchronization with lower interaction levels (coupling gains) than with linear coupling. Previous results on this topic were obtained for synchronization of several systems with all-to-all interconnections. In this paper, we relax the requirement of all-to-all interconnections and provide two results on exponential synchronization under nonlinear integral coupling for networks with topologies different from all-to-all interconnections. In particular, we provide a high-gain result for an arbitrary interconnection topology and a non-high-gain method for analysis of synchronization for specific topologies. The results are illustrated by simulations of Hindmarsh-Rose neuron oscillators.

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